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Scalar multiplication of functions by real constants

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Reference no: EM131470438

Let C(-oo, 00) be the set of all real-valued functions that are continuous on (-00, oo). Prove that the structure (C(-oo, so), +, -) is a vector space where + is the usual addition of functions and - is scalar multiplication of functions by real constants. Justify thoroughly.

Reference no: EM131470438

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